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arXiv · 1305.5365

Fine scales of decay of operator semigroups

Charles Batty·Ralph Chill·Yuri Tomilov
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Abstract

Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus, and complex, real and harmonic analysis. It also leads to several results of independent interest.

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Charles Batty, Ralph Chill, Yuri Tomilov. 2013-05-23. Fine scales of decay of operator semigroups. https://arxiv.org/abs/1305.5365

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